Welcome,
Lessons are indeed useful although theres no harm in getting straight in there and having a go.
I got my first lathe from Axminster, one of the perform ones, and whilest not the bees knees its more than good enough for my abilities at present.
A set of chisels will probably set you back another £60 or so. Second hand is probably a good option as you are likely to get other bits and pieces, chuck etc that someone has already splashed out on.
Good luck and give it a go.
Aidan.